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math.CV2010
An extremal decomposition problem for harmonic measure
V. N. Dubinin, M. Vuorinen
Let be a continuum in the closed unit disk of the complex -plane which divides the open disk into pairwise non-intersecting simply connected do…
math.CV2010
Coverings of Vertical Segments under a Conformal Mapping
Vladimir Dubinin
Hayman's conjecture about covering of vertical intervals under regular mappings is proved.